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Finding the Fourth Proportional to 7,218.30, 10,827.45 and 6,780.90

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Solution

The fourth proportional to 7,218.30, 10,827.45 and 6,780.90 is: 10,171.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,218.30 : 10,827.45 = 6,780.90 : x
  2. Step 2: Convert to fraction form
    7,218.30/10,827.45 = 6,780.90/x
  3. Step 3: Cross multiply
    7,218.30x = 10,827.45 × 6,780.90
  4. Step 4: Simplify right side
    7,218.30x = 73,419,855.71
  5. Step 5: Solve for x
    x = 73,419,855.71/7,218.30
  6. Step 6: Final answer
    x = 10,171.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.